Opposites Make Zero Quick Check
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Question
Which situation describes opposite quantities that when combined would equal 0?(1 point)
Responses
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home?
A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due south. How far is the family from home?
Which expression shows x and its opposite are 0
The situation that describes opposite quantities that when combined would equal 0 is:
A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home?
To answer this question, we need to understand that opposite quantities cancel each other out or equal zero when combined. So, we're looking for a situation where the family ends up at the same location they started from.
Let's analyze each option:
Option 1: A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due south. How far is the family from home? In this case, the family ends up 4 miles south of their starting point, so they are not at home, and the total distance is not zero.
Option 2: A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due east. How far is the family from home? In this case, the family ends up 4 miles east of their starting point, so they are not at home, and the total distance is not zero.
Option 3: A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. How far is the family from home? In this case, the family ends up back at their starting point, which means they are at home. The total distance traveled is zero.
Option 4: A family rides their bikes four miles due north from home. Then, they ride their bikes four miles due west. How far is the family from home? In this case, the family ends up at a point that is 4 miles west and 4 miles north of their starting point, so they are not at home, and the total distance is not zero.
Based on the analysis, the situation that describes opposite quantities that, when combined, would equal zero is option 3: A family rides their bikes four miles due east from home. Then, they ride their bikes four miles due west. The family is at home because they returned to their starting point and the total distance is zero.